screw snow at this time of year... just no
long distance moves i think vary depending on their own logistics, where you're going and how they have to move it. if they can load all your stuff onto a truck and drive it a to b and unload its cheaper than if they have to drive from your house to a facility, load all your stuff and a few other peoples stuff onto a bigger truck, then break the load apart into smaller trucks to get to your final destination.
You said you were going to a rental while you wait for your house to sell. It might be more cost effective to do a Pod type service, load all the non essentials in there and put it into storage, do a smaller move of the essentials to the rental until the house sells and then call for your pod to be delivered.